Pith Number

pith:C2QMNBNF

pith:2013:C2QMNBNFRE7Q2A4LKRAEMW57BG

not attested not anchored not stored refs pending

On sets of integers which contain no three terms in geometric progression

Nathan McNew

arxiv:1310.2277 v1 · 2013-10-08 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2QMNBNFRE7Q2A4LKRAEMW57BG}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:10:57.437394Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16a0c685a5893f0d038b5440465bbf098d3a0714f349a7d7a2daff3634e66889

Aliases

arxiv: 1310.2277 · arxiv_version: 1310.2277v1 · doi: 10.48550/arxiv.1310.2277 · pith_short_12: C2QMNBNFRE7Q · pith_short_16: C2QMNBNFRE7Q2A4L · pith_short_8: C2QMNBNF

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/C2QMNBNFRE7Q2A4LKRAEMW57BG \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 16a0c685a5893f0d038b5440465bbf098d3a0714f349a7d7a2daff3634e66889

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc5db2caa9ba33872abe7bc136e572b6b6a8761d035b2a09395089473aa7cf4",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-10-08T20:46:29Z",
    "title_canon_sha256": "881bdc403b758ccb198356b8bbf6a773c2a65c4632b5050bf000847af4a595ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2277",
    "kind": "arxiv",
    "version": 1
  }
}